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https://issues.apache.org/jira/browse/MATH-732?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13199019#comment-13199019
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Kurt Ostfeld commented on MATH-732:
-----------------------------------

I'm hoping this should be a fairly easy drop-in replacement. I'm still seeing 
large (~10x) performance improvements in my benchmarks. I had to make very 
small tweaks to the unit tests: In three cases, I had to reduce testing 
tolerance by one, because the output results differed passed the 13th decimal 
value.
                
> Major Speed Improvement to 1D Discrete Fourier Transform (approximately 5x-9x 
> improvement). Preserved public API 100%. Removed unnecessary use of instance 
> variables and instance state.
> ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
>
>                 Key: MATH-732
>                 URL: https://issues.apache.org/jira/browse/MATH-732
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.0
>            Reporter: Kurt Ostfeld
>            Assignee: Sébastien Brisard
>              Labels: api, perfomance
>             Fix For: 3.0
>
>         Attachments: DFTPerformanceWithPatch.png, 
> DFTPerformanceWithoutPatch.png, FastFourierTransformer.java, 
> FastFourierTransformerTest.java, Main.java
>
>
> I wrote my own Discrete Fourier Transform function in Java and ran some 
> benchmarks and found that it ran dramatically faster than the Apache library 
> implementation. This is a pretty straight forward implementation of the 
> standard Cooley Tukey algorithm that I read out of a textbook. This passes 
> all the Apache library test cases plus several I had written on my own. I 
> created a source code library patch that preserves the public API completely 
> while changing the internal implementation to achieve the performance 
> improvement.
> In addition to the performance issue, I suggest that Discrete Fourier 
> Transform functionality be provided as stateless pure functions (in Java this 
> would be implemented with static methods) just like most other math 
> functions. As-is, the library requires the user to instantiate a Transformer 
> instance which maintains instance state, which is an unecessary complexity 
> for a pure math function. I held off on this change since it would change the 
> public API and affect existing code. However, I see similar backward 
> compatability breaking API changes are already in the FastFourierTransformer 
> class in the 3.0 code base.

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